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Finding the Fourth Proportional to 103,957.60, 155,936.40 and 96,084.40

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Solution

The fourth proportional to 103,957.60, 155,936.40 and 96,084.40 is: 144,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,957.60 : 155,936.40 = 96,084.40 : x
  2. Step 2: Convert to fraction form
    103,957.60/155,936.40 = 96,084.40/x
  3. Step 3: Cross multiply
    103,957.60x = 155,936.40 × 96,084.40
  4. Step 4: Simplify right side
    103,957.60x = 14,983,055,432.16
  5. Step 5: Solve for x
    x = 14,983,055,432.16/103,957.60
  6. Step 6: Final answer
    x = 144,126.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.